Greatest Common Factor of 3579 and 3585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3579, 3585 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3579 and 3585 is 3.

GCF(3579,3585) = 3

GCF of 3579 and 3585

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3579 and 3585

GCF of 3579 and 3585 is 3

Prime Factorization of 3579


3 3579
1193 1193
1

Prime factors of 3579 are 3,1193. Prime factorization of 3579 in exponential form is:

3579 = 31×11931

Prime Factorization of 3585


3 3585
5 1195
239 239
1

Prime factors of 3585 are 3,5,239. Prime factorization of 3585 in exponential form is:

3585 = 31×51×2391

∴ So by taking common prime factors GCF of 3579 and 3585 is 3

Greatest Common Factor of 3579 and 3585 by matching factors method

Factors of 3579

List of positive integer factors of 3579 that divides 3579 without a remainder.

1,3,1193,3579

Factors of 3585

List of positive integer factors of 3585 that divides 3585 without a remainder.

1,3,5,15,239,717,1195,3585

Greatest Common Factor

We found the factors and prime factorization of 3579 and 3585. The biggest common factor number is the GCF number.
So the greatest common factor 3579 and 3585 is 3.

Also check out the Least Common Multiple of 3579 and 3585

Properties of GCF 3579 and 3585

(i) The GCF of 3579 and 3585 is associative

GCF of 3579 and 3585 = GCF of 3585 and 3579

Related Greatest Common Factor of 3579

Related Greatest Common Factor of 3585

Frequently Asked Questions on GCF of 3579 and 3585

1. What is the GCF of 3579 and 3585?

Answer: GCF of 3579 and 3585 is 3.

2. What are the Factors of 3579?

Answer: Factors of 3579 are 1, 3, 1193, 3579. There are 4 integers that are factors of 3579. The greatest factor of 3579 is 3579.

3. What are the Factors of 3585?

Answer: Factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. There are 8 integers that are factors of 3585. The greatest factor of 3585 is 3585.

4. How to Find the GCF of 3579 and 3585?

Answer:

Greatest Common Factor of 3579 and 3585 = 3

Step 1: Find the prime factorization of 3579

3579 = 3 x 1193

Step 2: Find the prime factorization of 3585

3585 = 3 x 5 x 239

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3579 and 3585 is 3